%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : MGT002-1 : TPTP v9.3.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n018.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Tue Sep 8 06:04:14 AM UTC 2026 % Result : Unsatisfiable 58.35s 58.53s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT002-1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.03 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.06/0.35 % Computer : n018.cluster.edu % 0.06/0.35 % Model : x86_64 x86_64 % 0.06/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.35 % Memory : 8046.5625MB % 0.06/0.35 % OS : Linux 6.8.0-71-generic % 0.06/0.35 % CPULimit : 300 % 0.06/0.35 % WCLimit : 300 % 0.06/0.35 % DateTime : Mon Sep 7 11:35:37 UTC 2026 % 0.06/0.35 % CPUTime : % 0.24/0.51 start to proof:theBenchmark % 58.35/58.52 %------------------------------------------- % 58.35/58.52 % File :CSE---1.7 % 58.35/58.52 % Problem :theBenchmark % 58.35/58.52 % Transform :cnf % 58.35/58.52 % Format :tptp:raw % 58.35/58.52 % Command :java -jar mcs_scs.jar %d %s % 58.35/58.52 % 58.35/58.52 % Result :Theorem 58.007163s % 58.35/58.52 % Output :CNFRefutation 58.007163s % 58.35/58.52 %------------------------------------------- % 58.35/58.52 %-------------------------------------------------------------------------- % 58.35/58.52 % File : MGT002-1 : TPTP v9.3.0. Released v2.4.0. % 58.35/58.52 % Domain : Management (Organisation Theory) % 58.35/58.52 % Problem : Structural inertia increases monotonically with age. % 58.35/58.52 % Version : [PB+94] axioms. % 58.35/58.52 % English : % 58.35/58.52 % 58.35/58.52 % Refs : [PB+92] Peli et al. (1992), A Logical Approach to Formalizing % 58.35/58.52 % : [PB+94] Peli et al. (1994), A Logical Approach to Formalizing % 58.35/58.52 % : [Kam94] Kamps (1994), Email to G. Sutcliffe % 58.35/58.52 % Source : [TPTP] % 58.35/58.52 % Names : % 58.35/58.52 % 58.35/58.52 % Status : Unsatisfiable % 58.35/58.52 % Rating : 0.00 v8.1.0, 0.25 v7.4.0, 0.17 v7.3.0, 0.25 v6.2.0, 0.17 v6.1.0, 0.00 v5.4.0, 0.06 v5.3.0, 0.10 v5.2.0, 0.00 v2.4.0 % 58.35/58.52 % Syntax : Number of clauses : 13 ( 7 unt; 0 nHn; 13 RR) % 58.35/58.52 % Number of literals : 40 ( 0 equ; 28 neg) % 58.35/58.52 % Maximal clause size : 10 ( 3 avg) % 58.35/58.52 % Maximal term depth : 2 ( 1 avg) % 58.35/58.52 % Number of predicates : 5 ( 5 usr; 0 prp; 2-3 aty) % 58.35/58.52 % Number of functors : 6 ( 6 usr; 5 con; 0-2 aty) % 58.35/58.52 % Number of variables : 29 ( 2 sgn) % 58.35/58.52 % SPC : CNF_UNS_RFO_NEQ_HRN % 58.35/58.52 % 58.35/58.52 % Comments : Created with tptp2X -f tptp -t clausify:otter MGT002+1.p % 58.35/58.52 %-------------------------------------------------------------------------- % 58.35/58.52 cnf(mp3_1,axiom, % 58.35/58.52 ( ~ organization(A,B) % 58.35/58.52 | reproducibility(A,sk1(B,A),B) ) ). % 58.35/58.52 % 58.35/58.52 cnf(mp4_2,axiom, % 58.35/58.52 ( ~ reorganization_free(A,B,C) % 58.35/58.52 | reorganization_free(A,B,B) ) ). % 58.35/58.52 % 58.35/58.52 cnf(mp4_3,axiom, % 58.35/58.52 ( ~ reorganization_free(A,B,C) % 58.35/58.52 | reorganization_free(A,C,C) ) ). % 58.35/58.52 % 58.35/58.52 cnf(a3_FOL_4,hypothesis, % 58.35/58.52 ( ~ organization(A,B) % 58.35/58.52 | ~ organization(C,D) % 58.35/58.52 | ~ reorganization_free(A,B,B) % 58.35/58.52 | ~ reorganization_free(C,D,D) % 58.35/58.52 | ~ reproducibility(A,E,B) % 58.35/58.52 | ~ reproducibility(C,F,D) % 58.35/58.52 | ~ inertia(A,G,B) % 58.35/58.52 | ~ inertia(C,H,D) % 58.35/58.52 | ~ greater(F,E) % 58.35/58.52 | greater(H,G) ) ). % 58.35/58.52 % 58.35/58.52 cnf(a3_FOL_5,hypothesis, % 58.35/58.52 ( ~ organization(A,B) % 58.35/58.52 | ~ organization(C,D) % 58.35/58.52 | ~ reorganization_free(A,B,B) % 58.35/58.52 | ~ reorganization_free(C,D,D) % 58.35/58.52 | ~ reproducibility(A,E,B) % 58.35/58.52 | ~ reproducibility(C,F,D) % 58.35/58.52 | ~ inertia(A,G,B) % 58.35/58.52 | ~ inertia(C,H,D) % 58.35/58.52 | ~ greater(H,G) % 58.35/58.52 | greater(F,E) ) ). % 58.35/58.52 % 58.35/58.53 cnf(a4_FOL_6,hypothesis, % 58.35/58.53 ( ~ organization(A,B) % 58.35/58.53 | ~ organization(A,C) % 58.35/58.53 | ~ reorganization_free(A,B,C) % 58.35/58.53 | ~ reproducibility(A,D,B) % 58.35/58.53 | ~ reproducibility(A,E,C) % 58.35/58.53 | ~ greater(C,B) % 58.35/58.53 | greater(E,D) ) ). % 58.35/58.53 % 58.35/58.53 cnf(t2_FOL_7,negated_conjecture, % 58.35/58.53 organization(sk2,sk5) ). % 58.35/58.53 % 58.35/58.53 cnf(t2_FOL_8,negated_conjecture, % 58.35/58.53 organization(sk2,sk6) ). % 58.35/58.53 % 58.35/58.53 cnf(t2_FOL_9,negated_conjecture, % 58.35/58.53 reorganization_free(sk2,sk5,sk6) ). % 58.35/58.53 % 58.35/58.53 cnf(t2_FOL_10,negated_conjecture, % 58.35/58.53 inertia(sk2,sk3,sk5) ). % 58.35/58.53 % 58.35/58.53 cnf(t2_FOL_11,negated_conjecture, % 58.35/58.53 inertia(sk2,sk4,sk6) ). % 58.35/58.53 % 58.35/58.53 cnf(t2_FOL_12,negated_conjecture, % 58.35/58.53 greater(sk6,sk5) ). % 58.35/58.53 % 58.35/58.53 cnf(t2_FOL_13,negated_conjecture, % 58.35/58.53 ~ greater(sk4,sk3) ). % 58.35/58.53 % 58.35/58.53 %-------------------------------------------------------------------------- % 58.35/58.53 %------------------------------------------- % 58.35/58.53 % Proof found % 58.35/58.53 % SZS status Theorem for theBenchmark % 58.35/58.53 % SZS output start Proof % 58.35/58.53 %ClaNum:13(EqnAxiom:0) % 58.35/58.53 %VarNum:87(SingletonVarNum:29) % 58.35/58.53 %MaxLitNum:10 % 58.35/58.53 %MaxfuncDepth:1 % 58.35/58.53 %SharedTerms:12 % 58.35/58.53 %goalClause: 1 2 3 4 5 6 7 % 58.35/58.53 %singleGoalClaCount:7 % 58.35/58.53 [1]P1(a1,a3) % 58.35/58.53 [2]P1(a1,a6) % 58.35/58.53 [3]P2(a6,a3) % 58.35/58.53 [4]P4(a1,a3,a6) % 58.35/58.53 [5]P3(a1,a4,a3) % 58.35/58.53 [6]P3(a1,a5,a6) % 58.35/58.53 [7]~P2(a5,a4) % 58.35/58.53 [8]~P1(x81,x82)+P5(x81,f2(x82,x81),x82) % 58.35/58.53 [9]P4(x91,x92,x92)+~P4(x91,x93,x92) % 58.35/58.53 [10]P4(x101,x102,x102)+~P4(x101,x102,x103) % 58.35/58.53 [11]~P2(x114,x115)+~P5(x113,x111,x114)+~P5(x113,x112,x115)+~P4(x113,x115,x114)+P2(x111,x112)+~P1(x113,x114)+~P1(x113,x115) % 58.35/58.53 [12]~P5(x123,x127,x124)+~P5(x125,x128,x126)+~P4(x123,x124,x124)+~P4(x125,x126,x126)+~P3(x123,x121,x124)+~P3(x125,x122,x126)+P2(x121,x122)+~P1(x123,x124)+~P1(x125,x126)+~P2(x127,x128) % 58.35/58.53 [13]~P5(x133,x131,x134)+~P5(x135,x132,x136)+~P4(x133,x134,x134)+~P4(x135,x136,x136)+~P3(x133,x137,x134)+~P3(x135,x138,x136)+P2(x131,x132)+~P1(x133,x134)+~P1(x135,x136)+~P2(x137,x138) % 58.35/58.53 %EqnAxiom % 58.35/58.53 % 58.35/58.53 %------------------------------------------- % 58.56/58.75 cnf(227106,plain, % 58.56/58.75 (P4(a1,a6,a6)), % 58.56/58.75 inference(scs_inference,[],[4,9])). % 58.56/58.75 cnf(227108,plain, % 58.56/58.75 (P4(a1,a3,a3)), % 58.56/58.75 inference(scs_inference,[],[4,9,10])). % 58.56/58.75 cnf(227110,plain, % 58.56/58.75 (P5(a1,f2(a3,a1),a3)), % 58.56/58.75 inference(scs_inference,[],[1,4,9,10,8])). % 58.56/58.75 cnf(227118,plain, % 58.56/58.75 ($false), % 58.56/58.75 inference(scs_inference,[],[1,5,6,227106,227108,227110,2,3,7,4,8,11,12]), % 58.56/58.75 ['proof']). % 58.67/58.83 % SZS output end Proof % 58.67/58.83 % Total time :58.007163s %------------------------------------------------------------------------------